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We study stable rank 2 vector bundles with trivial determinant whoseFrobenius pull back is non stable over a general curve of genus g>1. In genus2, we apply recent results about the theta divisor associated to the bundle Bof locally exact differential forms and we derive a scheme-theoreticdescription of the Frobenius inverse image of the semi-stable boundary of themoduli space.

Frobenius inverse image of the semi-stable boundary in the moduli space of vector bundles